most citedStrong Stationary Duality for Möbius Monotone Markov Chains: Unreliable Networks

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math.PR2011★ 1 cited

Strong Stationary Duality for Möbius Monotone Markov Chains: Unreliable Networks

Pawel Lorek, Ryszard Szekli

For Markov chains with a partially ordered finite state space we show strong stationary duality under the condition of Möbius monotonicity of the chain. We show relations of Möbius…

math.PR2010

Comparisons and asymptotics for empty space hazard functions of germ-grain models

Guenter Last, Ryszard Szekli

We study stochastic properties of the empty space for stationary germ-grain models in , in particular we deal with the inner radius of the empty space with respect to a gener…